What is the Greatest Common Factor of 85854 and 85872?

Greatest common factor (GCF) of 85854 and 85872 is 6.

GCF(85854,85872) = 6

We will now calculate the prime factors of 85854 and 85872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85854 and 85872.

How to find the GCF of 85854 and 85872?

We will first find the prime factorization of 85854 and 85872. After we will calculate the factors of 85854 and 85872 and find the biggest common factor number .

Step-1: Prime Factorization of 85854

Prime factors of 85854 are 2, 3, 41, 349. Prime factorization of 85854 in exponential form is:

85854 = 2¹ × 3¹ × 41¹ × 349¹

Step-2: Prime Factorization of 85872

Prime factors of 85872 are 2, 3, 1789. Prime factorization of 85872 in exponential form is:

85872 = 2⁴ × 3¹ × 1789¹

Step-3: Factors of 85854

List of positive integer factors of 85854 that divides 85854 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 349, 698, 1047, 2094, 14309, 28618, 42927

Step-4: Factors of 85872

List of positive integer factors of 85872 that divides 85854 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1789, 3578, 5367, 7156, 10734, 14312, 21468, 28624, 42936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85854 and 85872. The biggest common factor number is the GCF number.
So the greatest common factor 85854 and 85872 is 6.

Also check out the Least Common Multiple of 85854 and 85872